Does Bleach Kill Roaches?

Many of us have been through this scenario: You walk into the kitchen or bathroom after dark and flip on the light only to see a roach skitter across the wall or countertop. After a shudder or two, you make an action plan, trying to figure out how to rid your home of these seemingly indestructible insects.
A quick online search turns up a ton of “surefire” solutions, from hosing your home down in chemicals to using pantry items like vinegar to do the job. The problem with chemicals is the lingering fumes and the danger they and the chemicals themselves pose to people and pets. And, distilled vinegar and other household items just don’t work.
One common liquid that gets a lot of online attention in the battle with roaches is bleach. So, can bleach kill roaches? Technically, it COULD. But the methods to do that are pretty inefficient and time-consuming.